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2 years ago

What is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1

Mathematics

1 answer:

Contact [7]2 years ago

8 0

Answer:

Equate the divisor to 0

2x-1=0

2×=1

×=1/2

Putting onto the polynomial

f(1/2) = (1/2)³-1/2)²+3(1/2)-2

=-5/8

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I don’t understand number 89! please help I have a test tomorrow!

Rainbow [258]

V = rw

where; v = velocity , r = radius , w = angular speed

you're given the diameter = 0.5 miles so the radius = 0.25 miles

180 = (0.25)w
180/0.25 = w
720 radians per hour = w

2pi radians in 1 revolution

720 rad/hr * 1 rev / 2pi rad = 720/2pi rev/hr
= 114.6 rev/hr

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3 years ago

20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by

scoundrel [369]

Answer:

Part a) $f(2)=1.57\ sec$

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) $2,165.43\ sec$

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

$f(d)=1.11\sqrt{d}$

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For $d=2\ ft$

substitute in the function above and solve for f(2)

$f(2)=1.11\sqrt{2}$

$f(2)=1.57\ sec$

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

$d=3,805,774\ ft$

substitute the value of d in the function f(d)

$f(d)=1.11\sqrt{3,805,774}$

$f(d)=2,165.43\ sec$

3 0

3 years ago

Finding surface area if an triangular prism

SVEN [57.7K]

1)find the area of a triangle. Multiply it by 2 or 4 depending on if they are the same size
2)find the area of the base
3)find the area of the other two sides if you haven’t already.
4) add them all together

8 0

3 years ago

What is the slope of a line parallel to the line containing (-6,1) and (3,-2)

timama [110]

Answer:

$m = -\frac{3}{9}$

Step-by-step explanation:

Use the following formula:

slope: $m = (y_{2} - y_{1})/(x_{2} - x_{1})$

Let:

$(x_{1} , y_{1}) = (-6 , 1)\\ (x_{2} , y_ {2}) = (3 , -2)\\$

Plug in the corresponding numbers to the corresponding variables:

$m = \frac{-2 - 1}{3 - (-6)}\\\\m = \frac{-3}{3 + 6}\\\\m = \frac{-3}{9}$

$m = -\frac{3}{9}$ is your answer.

3 0

3 years ago

What is the range of the function y= -|x|

Katen [24]

Hello, again!!

So, the range is the outcome when you plug in any x. In other words, the y.
Because this is absolute value, the x will turn positive. However, the number will then turn negative.
Therefore, y will ALWAYS be negative.

The answer is C.

Hope this helps!! Let me know if you have ANY questions.

4 0

3 years ago

What is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1​

What is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1